Question

The time taken to thoroughly audit the books of a small business by Royce, Smith and...

The time taken to thoroughly audit the books of a small business by Royce, Smith and Jones Auditors has been found to follow a normal distribution with a mean of 5.5 days and a standard deviation of 7 days.

Part A For what proportion of claims is the processing time expected to be longer than 8 days? Give your answer to two decimal places in the form 0.xx.

Answer:

Part B The company is currently auditing the books of 40 small businesses. How many, to the nearest whole number are expected to take longer than 8 days to audit? Give your answer in the form xx or x as appropriate.

Answer:

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Answer #1

The time taken to thoroughly audit the books of a small business by Royce, Smith and Jones Auditors has been found to follow a normal distribution with a mean of 5.5 days and a standard deviation of 7 days. That is .

A) The proportion of claims is the processing time expected to be longer than 8 days is

B) The number of small businesses out of 40 has Binomial distribution with .

The expected value of the distribution is

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